SOLUTION: Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (2, 6).

Algebra ->  Linear-equations -> SOLUTION: Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (2, 6).      Log On


   

Question 838319: Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (2, 6).
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Line Through (2, 6); 

perpendicular to 2x -3y = 12 Or +y+=+highlight%282%2F3%29x+-+4 (Green Line)

Slope New Line is highlight_green%28-3%2F2%29

Using point-slope form, y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29

+y+-+6+=+highlight_green%28-3%2F2%29%28x+-2%29

in slope-intercept form:

  y - 6 = (-3/2)x + 3

    y = (-3/2)x + 9  (Blue Line)